{
  "annotation_id": "c857fc0d-866e-4296-b926-4ce2af7ee1e2",
  "date_created": "2026-03-02T18:01:52.622000Z",
  "date_modified": "2026-03-02T18:01:52.622000Z",
  "file_hash": "a19ba3383346a078ea970e2e189b8c9cee67ee979ecf7485b79428308a158906",
  "private": false,
  "record": {
    "abstract": "We address the decomposition of a multi-mode pure Gaussian state with respect\nto a bi-partite division of the modes. For any such division the state can\nalways be expressed as a product state involving entangled two-mode squeezed\nstates and single mode local states at each side. The character of entanglement\nof the state can therefore be understood modewise; that is, a given mode on one\nside is entangled with only one corresponding mode of the other, and therefore\nthe total bi-partite entanglement is the sum of the modewise entanglement. This\ndecomposition is generally not applicable to all mixed Gaussian states.\nHowever, the result can be extended to a special family of \"isotropic\" states,\ncharacterized by a phase space covariance matrix with a completely degenerate\nsymplectic spectrum.",
    "arxiv_id": "quant-ph/0209026",
    "authors": [
      "Alonso Botero",
      "Benni Reznik"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.67.052311",
    "journal_ref": "Phys. Rev. A 67, 052311 (2003)",
    "title": "Mode-Wise Entanglement of Gaussian States",
    "url": "https://arxiv.org/abs/quant-ph/0209026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b1b4977a-a537-4d70-bf32-7e3f2d5beefd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}